Geogebra Assignment Answer Key – Answers may vary
1. Consider l, m, and n as three distinct lines in a plane. These lines may be related to each other in different
ways. By sketching, show other ways they may be related.
m
n
l
a.
m
n
l
b.
m
n
l
c.
m
l
n
d.
2. Draw two segments U V and
UV  XW
U
XW
so that U V 
XW
is empty (they do not overlap or intersect), but
is one line.
V
X
W
3. In a plane, draw 3 lines and then four lines with the following number of intersections. Do you find that any
of the drawings are impossible?
a. 0:
b. 2:
Not possible
c. 4: Not possible
d. 5: Not possible
4. Draw if possible a polygonal region with the following characteristics:
a. Convex with 4 sides:
b. Concave with 4 sides:
(Live long and prosper!)
c. Convex with 3 sides:
d. Concave with 3 sides: not possible
e. Convex with 2 sides: not possible
5. Sketch a curve that is the union of line segments such that the curve is:
a. Simple but not closed:
b. Simple and closed:
c. A 4-sided polygon bounding a convex region:
d. A 5-sided polygon bounding a concave region:
6. Draw 2 triangles whose intersection is:
a. One point:
b. Three points:
c. Five points:
7. If possible, draw a circle that intersects a triangle in:
a. One point:
b. Three points:
c. Five points:
8. Draw an equilateral hexagon that is NOT equiangular:
9. Draw an equiangular hexagon that is NOT equilateral:
10. Draw a pyramid and a prism with each of the following as a base.
a. Triangle:
b. Pentagon: